The sign of longitudinal magnetoconductivity and the planar Hall effect in Weyl semimetals

Abstract

The manifestation of chiral anomaly in Weyl semimetals typically relies on the observation of longitudinal magnetoconductance (LMC) along with the planar Hall effect, with a specific magnetic field and angle dependence. Here we solve the Boltzmann equation in the semiclassical regime for a prototype of a Weyl semimetal, allowing for both intravalley and intervalley scattering, along with including effects from the orbital magnetic moment (OMM), in a geometry where the electric and magnetic fields are not necessarily parallel to each other. We construct the phase diagram in the relevant parameter space that describes the shift from positive to negative LMC in the presence of OMM and sufficiently strong intervalley scattering, as has been recently pointed out for only parallel electric and magnetic fields. On the other hand, we find that the chiral anomaly contribution to the planar Hall effect always remains positive (unlike the LMC) irrespective of the inclusion or exclusion of OMM, or the strength of the intervalley scattering. Our predictions can be directly tested in experiments, and may be employed as new diagnostic procedures to verify chiral anomaly in Weyl systems.

Some results updated

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• Longitudinal magnetoconductance and the planar Hall conductance in inhomogeneous Weyl semimetals
• Revisiting magnetotransport in Weyl semimetals
• Chiral anomalies in 3D spin-orbit coupled metals: electrical, thermal, and gravitational anomaly
• Berry curvature induced anisotropic magnetotransport in a quadratic triple-component fermionic system
• Planar Hall Plateau in Magnetic Weyl Semimetals
• Anisotropic positive linear and sub-linear magnetoresistivity in the cubic type-II Dirac metal Pd${}_3$In${}_7$
• Anomalous transport in pseudospin-1 fermions
• Chiral anomaly and positive longitudinal magnetoresistance in the type-II Dirac semimetals $A_x$PdTe${}_2$ (\textit{A} = Cu, Ag)
• Quantum oscillations of the nonlinear planar effects signifying chiral anomaly in Weyl Semimetals
• Magnetoresistance in Noncentrosymmetric Two-dimensional Systems
• Chiral anomaly-induced nonlinear Hall effect in spin-orbit coupled noncentrosymmetric metals
• Chiral anomaly induced magnetoconductances in an irradiated Type-I Weyl Semimetal
• Comparing the Extrinsic Orbital Hall Effect in Centrosymmetric and Noncentrosymmetric Systems: Insights from Bilayer Transition Metal Dichalcogenides
• Chiral Anomaly Induced Transverse Planar Transport Phenomena in Three Dimensional Spin-Orbit Coupled Metals
• Effect of trivial bands on chiral anomaly-induced longitudinal magnetoconductivity in Weyl semimetals